ADD AND SUBTRACT FRACTIONS WORKSHEET

Add and Subtract Fractions Worksheet :

Worksheet given in this section will be much useful for the students who would like to practice problems on adding and subtracting fractions. 

Before look at the worksheet, if you would like to learn, how to add and subtract fractions, 

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Add and Subtract Fractions Worksheet - Problems

Problem 1 :

Find the value of :

3/4 + 1/4

Problem 2 :

Find the value of :

7/15 + 13/15 + 11/15

Problem 3 :

Find the value of :

10/21 - 3/21

Problem 4 :

Find the value of :

5/28 + 3/28 - 1/28

Problem 5 : 

Find the value of :

1/12  +  3/18

Problem 6 : 

Find the value of :

5/16 - 7/20

Add and Subtract Fractions Worksheet - Solutions

Problem 1 :

Find the value of :

3/4 + 1/4

Solution :

The given two fractions have the same denominator. That is 4.

So, take the denominator once and simplify the numerators. 

=  (3 + 1) / 4

=  4 / 4

=  1

Therefore, 

3/4 + 1/4  =  1

Problem 2 :

Find the value of :

7/15 + 13/15 + 11/15

Solution :

The given fractions have the same denominator. That is 15.

So, take the denominator once and simplify the numerators. 

=  (7 + 13 + 11) / 15

=  31/15

Because 31/15 is an improper fraction, convert it into a mixed number. 

Then, we have 

=  2 1/15

Therefore, 

7/15 + 13/15 + 11/15  =  2 1/15

Problem 3 :

Find the value of :

10/21 - 3/21

Solution :

The given fractions have the same denominator. That is 21.

So, take the denominator once and simplify the numerators. 

=  (10 - 3) / 21

=  7 / 21

Simplify. 

=  1 / 3

Therefore, 

10/21 - 3/21  =  1/3

Problem 4 :

Find the value of :

5/28 + 3/28 - 1/28

Solution :

The given fractions have the same denominator. That is 28.

So, take the denominator once and simplify the numerators. 

=  (5 + 3 - 1) / 28

=  7 / 28

Simplify. 

=  1 / 4

Therefore, 

5/28 + 3/28 - 1/28  =  1/4

Problem 5 : 

Find the value of :

1/12  +  3/18

Solution :

The given two fractions are unlike fractions. Because, they have different denominators. 

Because the denominators are not same, we have to use the method of LCM to add the above fractions. 

LCM of (12 and 18)  =  36

Now, make the denominators of both the fractions to be 36.

To make the denominator to be 36, we have to multiply the numerator and denominator of the first fraction by 3 and the second one by 2.

Then, we have  

1/12  +  3/18  =  3/36  +  2/36

1/12 + 3/18  =  (3 + 2) / 36

1/12 + 3/18  =  5 / 36

Problem 6 : 

Find the value of :

5/16 - 7/20

Solution :

The given two fractions are unlike fractions. Because, they have different denominators. 

Because the denominators are not same, we have to use the method of LCM to add the above fractions. 

LCM of (16 and 20)  =  80

Now, make the denominators of both the fractions to be 80.

To make the denominator to be 80, we have to multiply the numerator and denominator of the first fraction by 5 and the second one by 4.

Then, we have  

5/16 - 7/20  =  25/80 - 28/80

5/16 - 7/20  =  (25 - 28) / 80

5/16 - 7/20  =  3/80

After having gone through the stuff given above, we hope that the students would have understood, how to add and subtract two fractions. 

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